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Finding the Fourth Proportional to 7,875.76, 10,868.24 and 4,689.36

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Solution

The fourth proportional to 7,875.76, 10,868.24 and 4,689.36 is: 6,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.76 : 10,868.24 = 4,689.36 : x
  2. Step 2: Convert to fraction form
    7,875.76/10,868.24 = 4,689.36/x
  3. Step 3: Cross multiply
    7,875.76x = 10,868.24 × 4,689.36
  4. Step 4: Simplify right side
    7,875.76x = 50,965,089.93
  5. Step 5: Solve for x
    x = 50,965,089.93/7,875.76
  6. Step 6: Final answer
    x = 6,471.13

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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.