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Finding the Fourth Proportional to 10,754.70, 14,840.66 and 6,038.07

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Solution

The fourth proportional to 10,754.70, 14,840.66 and 6,038.07 is: 8,332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.70 : 14,840.66 = 6,038.07 : x
  2. Step 2: Convert to fraction form
    10,754.70/14,840.66 = 6,038.07/x
  3. Step 3: Cross multiply
    10,754.70x = 14,840.66 × 6,038.07
  4. Step 4: Simplify right side
    10,754.70x = 89,608,913.74
  5. Step 5: Solve for x
    x = 89,608,913.74/10,754.70
  6. Step 6: Final answer
    x = 8,332.07

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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.