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Finding the Fourth Proportional to 10,491.60, 15,742.16 and 4,570.32

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Solution

The fourth proportional to 10,491.60, 15,742.16 and 4,570.32 is: 6,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.60 : 15,742.16 = 4,570.32 : x
  2. Step 2: Convert to fraction form
    10,491.60/15,742.16 = 4,570.32/x
  3. Step 3: Cross multiply
    10,491.60x = 15,742.16 × 4,570.32
  4. Step 4: Simplify right side
    10,491.60x = 71,946,708.69
  5. Step 5: Solve for x
    x = 71,946,708.69/10,491.60
  6. Step 6: Final answer
    x = 6,857.55

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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.