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Finding the Fourth Proportional to 7,499.20, 11,248.80 and 6,656.80

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Solution

The fourth proportional to 7,499.20, 11,248.80 and 6,656.80 is: 9,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499.20 : 11,248.80 = 6,656.80 : x
  2. Step 2: Convert to fraction form
    7,499.20/11,248.80 = 6,656.80/x
  3. Step 3: Cross multiply
    7,499.20x = 11,248.80 × 6,656.80
  4. Step 4: Simplify right side
    7,499.20x = 74,881,011.84
  5. Step 5: Solve for x
    x = 74,881,011.84/7,499.20
  6. Step 6: Final answer
    x = 9,985.20

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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.