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Finding the Fourth Proportional to 10,148.56, 14,005.06 and 5,672.50

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Solution

The fourth proportional to 10,148.56, 14,005.06 and 5,672.50 is: 7,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.56 : 14,005.06 = 5,672.50 : x
  2. Step 2: Convert to fraction form
    10,148.56/14,005.06 = 5,672.50/x
  3. Step 3: Cross multiply
    10,148.56x = 14,005.06 × 5,672.50
  4. Step 4: Simplify right side
    10,148.56x = 79,443,653.66
  5. Step 5: Solve for x
    x = 79,443,653.66/10,148.56
  6. Step 6: Final answer
    x = 7,828.07

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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.