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Finding the Fourth Proportional to 11,545.58, 15,946.04 and 7,762.18

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Solution

The fourth proportional to 11,545.58, 15,946.04 and 7,762.18 is: 10,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.58 : 15,946.04 = 7,762.18 : x
  2. Step 2: Convert to fraction form
    11,545.58/15,946.04 = 7,762.18/x
  3. Step 3: Cross multiply
    11,545.58x = 15,946.04 × 7,762.18
  4. Step 4: Simplify right side
    11,545.58x = 123,776,032.77
  5. Step 5: Solve for x
    x = 123,776,032.77/11,545.58
  6. Step 6: Final answer
    x = 10,720.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.