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Finding the Fourth Proportional to 10,505.34, 14,511.18 and 7,848.14

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Solution

The fourth proportional to 10,505.34, 14,511.18 and 7,848.14 is: 10,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.34 : 14,511.18 = 7,848.14 : x
  2. Step 2: Convert to fraction form
    10,505.34/14,511.18 = 7,848.14/x
  3. Step 3: Cross multiply
    10,505.34x = 14,511.18 × 7,848.14
  4. Step 4: Simplify right side
    10,505.34x = 113,885,699.65
  5. Step 5: Solve for x
    x = 113,885,699.65/10,505.34
  6. Step 6: Final answer
    x = 10,840.74

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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.