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Finding the Fourth Proportional to 10,970.63, 15,139.40 and 5,934.84

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Solution

The fourth proportional to 10,970.63, 15,139.40 and 5,934.84 is: 8,190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.63 : 15,139.40 = 5,934.84 : x
  2. Step 2: Convert to fraction form
    10,970.63/15,139.40 = 5,934.84/x
  3. Step 3: Cross multiply
    10,970.63x = 15,139.40 × 5,934.84
  4. Step 4: Simplify right side
    10,970.63x = 89,849,887.02
  5. Step 5: Solve for x
    x = 89,849,887.02/10,970.63
  6. Step 6: Final answer
    x = 8,190.04

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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.