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Finding the Fourth Proportional to 10,737, 14,823.54 and 7,017.48

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Solution

The fourth proportional to 10,737, 14,823.54 and 7,017.48 is: 9,688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737 : 14,823.54 = 7,017.48 : x
  2. Step 2: Convert to fraction form
    10,737/14,823.54 = 7,017.48/x
  3. Step 3: Cross multiply
    10,737x = 14,823.54 × 7,017.48
  4. Step 4: Simplify right side
    10,737x = 104,023,895.48
  5. Step 5: Solve for x
    x = 104,023,895.48/10,737
  6. Step 6: Final answer
    x = 9,688.36

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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.