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Finding the Fourth Proportional to 10,510.61, 14,505.66 and 7,853.40

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Solution

The fourth proportional to 10,510.61, 14,505.66 and 7,853.40 is: 10,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.61 : 14,505.66 = 7,853.40 : x
  2. Step 2: Convert to fraction form
    10,510.61/14,505.66 = 7,853.40/x
  3. Step 3: Cross multiply
    10,510.61x = 14,505.66 × 7,853.40
  4. Step 4: Simplify right side
    10,510.61x = 113,918,750.24
  5. Step 5: Solve for x
    x = 113,918,750.24/10,510.61
  6. Step 6: Final answer
    x = 10,838.46

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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.