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Finding the Fourth Proportional to 10,006.19, 14,987.35 and 7,928.54

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Solution

The fourth proportional to 10,006.19, 14,987.35 and 7,928.54 is: 11,875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.19 : 14,987.35 = 7,928.54 : x
  2. Step 2: Convert to fraction form
    10,006.19/14,987.35 = 7,928.54/x
  3. Step 3: Cross multiply
    10,006.19x = 14,987.35 × 7,928.54
  4. Step 4: Simplify right side
    10,006.19x = 118,827,784.15
  5. Step 5: Solve for x
    x = 118,827,784.15/10,006.19
  6. Step 6: Final answer
    x = 11,875.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.