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Finding the Fourth Proportional to 10,538.16, 14,534.46 and 7,470.60

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Solution

The fourth proportional to 10,538.16, 14,534.46 and 7,470.60 is: 10,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.16 : 14,534.46 = 7,470.60 : x
  2. Step 2: Convert to fraction form
    10,538.16/14,534.46 = 7,470.60/x
  3. Step 3: Cross multiply
    10,538.16x = 14,534.46 × 7,470.60
  4. Step 4: Simplify right side
    10,538.16x = 108,581,136.88
  5. Step 5: Solve for x
    x = 108,581,136.88/10,538.16
  6. Step 6: Final answer
    x = 10,303.61

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