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Finding the Fourth Proportional to 10,010.15, 13,818.59 and 7,141.07

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Solution

The fourth proportional to 10,010.15, 13,818.59 and 7,141.07 is: 9,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.15 : 13,818.59 = 7,141.07 : x
  2. Step 2: Convert to fraction form
    10,010.15/13,818.59 = 7,141.07/x
  3. Step 3: Cross multiply
    10,010.15x = 13,818.59 × 7,141.07
  4. Step 4: Simplify right side
    10,010.15x = 98,679,482.79
  5. Step 5: Solve for x
    x = 98,679,482.79/10,010.15
  6. Step 6: Final answer
    x = 9,857.94

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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.