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Finding the Fourth Proportional to 10,557.18, 14,564.34 and 6,363

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Solution

The fourth proportional to 10,557.18, 14,564.34 and 6,363 is: 8,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.18 : 14,564.34 = 6,363 : x
  2. Step 2: Convert to fraction form
    10,557.18/14,564.34 = 6,363/x
  3. Step 3: Cross multiply
    10,557.18x = 14,564.34 × 6,363
  4. Step 4: Simplify right side
    10,557.18x = 92,672,895.42
  5. Step 5: Solve for x
    x = 92,672,895.42/10,557.18
  6. Step 6: Final answer
    x = 8,778.19

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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.