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Finding the Fourth Proportional to 10,534.32, 15,798.12 and 4,294.32

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Solution

The fourth proportional to 10,534.32, 15,798.12 and 4,294.32 is: 6,440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.32 : 15,798.12 = 4,294.32 : x
  2. Step 2: Convert to fraction form
    10,534.32/15,798.12 = 4,294.32/x
  3. Step 3: Cross multiply
    10,534.32x = 15,798.12 × 4,294.32
  4. Step 4: Simplify right side
    10,534.32x = 67,842,182.68
  5. Step 5: Solve for x
    x = 67,842,182.68/10,534.32
  6. Step 6: Final answer
    x = 6,440.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.