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Finding the Fourth Proportional to 10,007.30, 15,006.05 and 5,848.35

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Solution

The fourth proportional to 10,007.30, 15,006.05 and 5,848.35 is: 8,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.30 : 15,006.05 = 5,848.35 : x
  2. Step 2: Convert to fraction form
    10,007.30/15,006.05 = 5,848.35/x
  3. Step 3: Cross multiply
    10,007.30x = 15,006.05 × 5,848.35
  4. Step 4: Simplify right side
    10,007.30x = 87,760,603.28
  5. Step 5: Solve for x
    x = 87,760,603.28/10,007.30
  6. Step 6: Final answer
    x = 8,769.66

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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.