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Finding the Fourth Proportional to 8,557.64, 12,865.74 and 7,916.36

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Solution

The fourth proportional to 8,557.64, 12,865.74 and 7,916.36 is: 11,901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,557.64 : 12,865.74 = 7,916.36 : x
  2. Step 2: Convert to fraction form
    8,557.64/12,865.74 = 7,916.36/x
  3. Step 3: Cross multiply
    8,557.64x = 12,865.74 × 7,916.36
  4. Step 4: Simplify right side
    8,557.64x = 101,849,829.51
  5. Step 5: Solve for x
    x = 101,849,829.51/8,557.64
  6. Step 6: Final answer
    x = 11,901.63

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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.