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Finding the Fourth Proportional to 11,345.06, 15,656.19 and 6,377.06

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Solution

The fourth proportional to 11,345.06, 15,656.19 and 6,377.06 is: 8,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.06 : 15,656.19 = 6,377.06 : x
  2. Step 2: Convert to fraction form
    11,345.06/15,656.19 = 6,377.06/x
  3. Step 3: Cross multiply
    11,345.06x = 15,656.19 × 6,377.06
  4. Step 4: Simplify right side
    11,345.06x = 99,840,478.23
  5. Step 5: Solve for x
    x = 99,840,478.23/11,345.06
  6. Step 6: Final answer
    x = 8,800.35

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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.