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Finding the Fourth Proportional to 10,012.32, 14,999.85 and 7,810.47

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Solution

The fourth proportional to 10,012.32, 14,999.85 and 7,810.47 is: 11,701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.32 : 14,999.85 = 7,810.47 : x
  2. Step 2: Convert to fraction form
    10,012.32/14,999.85 = 7,810.47/x
  3. Step 3: Cross multiply
    10,012.32x = 14,999.85 × 7,810.47
  4. Step 4: Simplify right side
    10,012.32x = 117,155,878.43
  5. Step 5: Solve for x
    x = 117,155,878.43/10,012.32
  6. Step 6: Final answer
    x = 11,701.17

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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.