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Finding the Fourth Proportional to 10,433.52, 14,412.06 and 7,776.32

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Solution

The fourth proportional to 10,433.52, 14,412.06 and 7,776.32 is: 10,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.52 : 14,412.06 = 7,776.32 : x
  2. Step 2: Convert to fraction form
    10,433.52/14,412.06 = 7,776.32/x
  3. Step 3: Cross multiply
    10,433.52x = 14,412.06 × 7,776.32
  4. Step 4: Simplify right side
    10,433.52x = 112,072,718.36
  5. Step 5: Solve for x
    x = 112,072,718.36/10,433.52
  6. Step 6: Final answer
    x = 10,741.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.