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Finding the Fourth Proportional to 10,368.01, 14,308 and 5,652.29

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Solution

The fourth proportional to 10,368.01, 14,308 and 5,652.29 is: 7,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.01 : 14,308 = 5,652.29 : x
  2. Step 2: Convert to fraction form
    10,368.01/14,308 = 5,652.29/x
  3. Step 3: Cross multiply
    10,368.01x = 14,308 × 5,652.29
  4. Step 4: Simplify right side
    10,368.01x = 80,872,965.32
  5. Step 5: Solve for x
    x = 80,872,965.32/10,368.01
  6. Step 6: Final answer
    x = 7,800.24

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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.