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Finding the Fourth Proportional to 10,865.32, 14,970.99 and 7,322.38

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Solution

The fourth proportional to 10,865.32, 14,970.99 and 7,322.38 is: 10,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.32 : 14,970.99 = 7,322.38 : x
  2. Step 2: Convert to fraction form
    10,865.32/14,970.99 = 7,322.38/x
  3. Step 3: Cross multiply
    10,865.32x = 14,970.99 × 7,322.38
  4. Step 4: Simplify right side
    10,865.32x = 109,623,277.76
  5. Step 5: Solve for x
    x = 109,623,277.76/10,865.32
  6. Step 6: Final answer
    x = 10,089.28

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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.