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Finding the Fourth Proportional to 10,838.76, 14,948.13 and 7,060.50

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Solution

The fourth proportional to 10,838.76, 14,948.13 and 7,060.50 is: 9,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.76 : 14,948.13 = 7,060.50 : x
  2. Step 2: Convert to fraction form
    10,838.76/14,948.13 = 7,060.50/x
  3. Step 3: Cross multiply
    10,838.76x = 14,948.13 × 7,060.50
  4. Step 4: Simplify right side
    10,838.76x = 105,541,271.87
  5. Step 5: Solve for x
    x = 105,541,271.87/10,838.76
  6. Step 6: Final answer
    x = 9,737.39

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Why These Related Problems?

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