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Finding the Fourth Proportional to 7,461.60, 11,192.40 and 7,315.80

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Solution

The fourth proportional to 7,461.60, 11,192.40 and 7,315.80 is: 10,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.60 : 11,192.40 = 7,315.80 : x
  2. Step 2: Convert to fraction form
    7,461.60/11,192.40 = 7,315.80/x
  3. Step 3: Cross multiply
    7,461.60x = 11,192.40 × 7,315.80
  4. Step 4: Simplify right side
    7,461.60x = 81,881,359.92
  5. Step 5: Solve for x
    x = 81,881,359.92/7,461.60
  6. Step 6: Final answer
    x = 10,973.70

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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.