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Finding the Fourth Proportional to 10,221.60, 15,332.40 and 7,111.20

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Solution

The fourth proportional to 10,221.60, 15,332.40 and 7,111.20 is: 10,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.60 : 15,332.40 = 7,111.20 : x
  2. Step 2: Convert to fraction form
    10,221.60/15,332.40 = 7,111.20/x
  3. Step 3: Cross multiply
    10,221.60x = 15,332.40 × 7,111.20
  4. Step 4: Simplify right side
    10,221.60x = 109,031,762.88
  5. Step 5: Solve for x
    x = 109,031,762.88/10,221.60
  6. Step 6: Final answer
    x = 10,666.80

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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.