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Finding the Fourth Proportional to 10,501.41, 15,748.02 and 4,653.92

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Solution

The fourth proportional to 10,501.41, 15,748.02 and 4,653.92 is: 6,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.41 : 15,748.02 = 4,653.92 : x
  2. Step 2: Convert to fraction form
    10,501.41/15,748.02 = 4,653.92/x
  3. Step 3: Cross multiply
    10,501.41x = 15,748.02 × 4,653.92
  4. Step 4: Simplify right side
    10,501.41x = 73,290,064.61
  5. Step 5: Solve for x
    x = 73,290,064.61/10,501.41
  6. Step 6: Final answer
    x = 6,979.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.