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Finding the Fourth Proportional to 10,792.48, 14,886.48 and 7,060

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Solution

The fourth proportional to 10,792.48, 14,886.48 and 7,060 is: 9,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.48 : 14,886.48 = 7,060 : x
  2. Step 2: Convert to fraction form
    10,792.48/14,886.48 = 7,060/x
  3. Step 3: Cross multiply
    10,792.48x = 14,886.48 × 7,060
  4. Step 4: Simplify right side
    10,792.48x = 105,098,548.80
  5. Step 5: Solve for x
    x = 105,098,548.80/10,792.48
  6. Step 6: Final answer
    x = 9,738.13

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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.