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Finding the Fourth Proportional to 7,666.20, 11,510.10 and 6,024.60

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Solution

The fourth proportional to 7,666.20, 11,510.10 and 6,024.60 is: 9,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.20 : 11,510.10 = 6,024.60 : x
  2. Step 2: Convert to fraction form
    7,666.20/11,510.10 = 6,024.60/x
  3. Step 3: Cross multiply
    7,666.20x = 11,510.10 × 6,024.60
  4. Step 4: Simplify right side
    7,666.20x = 69,343,748.46
  5. Step 5: Solve for x
    x = 69,343,748.46/7,666.20
  6. Step 6: Final answer
    x = 9,045.39

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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.