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Finding the Fourth Proportional to 11,342.91, 15,653.23 and 6,307.08

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Solution

The fourth proportional to 11,342.91, 15,653.23 and 6,307.08 is: 8,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.91 : 15,653.23 = 6,307.08 : x
  2. Step 2: Convert to fraction form
    11,342.91/15,653.23 = 6,307.08/x
  3. Step 3: Cross multiply
    11,342.91x = 15,653.23 × 6,307.08
  4. Step 4: Simplify right side
    11,342.91x = 98,726,095.60
  5. Step 5: Solve for x
    x = 98,726,095.60/11,342.91
  6. Step 6: Final answer
    x = 8,703.77

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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.