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Finding the Fourth Proportional to 10,501.66, 15,757.98 and 6,802.93

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Solution

The fourth proportional to 10,501.66, 15,757.98 and 6,802.93 is: 10,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.66 : 15,757.98 = 6,802.93 : x
  2. Step 2: Convert to fraction form
    10,501.66/15,757.98 = 6,802.93/x
  3. Step 3: Cross multiply
    10,501.66x = 15,757.98 × 6,802.93
  4. Step 4: Simplify right side
    10,501.66x = 107,200,434.88
  5. Step 5: Solve for x
    x = 107,200,434.88/10,501.66
  6. Step 6: Final answer
    x = 10,207.95

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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.