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Finding the Fourth Proportional to 10,347.16, 14,279.22 and 5,870.80

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Solution

The fourth proportional to 10,347.16, 14,279.22 and 5,870.80 is: 8,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.16 : 14,279.22 = 5,870.80 : x
  2. Step 2: Convert to fraction form
    10,347.16/14,279.22 = 5,870.80/x
  3. Step 3: Cross multiply
    10,347.16x = 14,279.22 × 5,870.80
  4. Step 4: Simplify right side
    10,347.16x = 83,830,444.78
  5. Step 5: Solve for x
    x = 83,830,444.78/10,347.16
  6. Step 6: Final answer
    x = 8,101.78

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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.