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Finding the Fourth Proportional to 11,663.58, 16,095.69 and 6,358.35

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Solution

The fourth proportional to 11,663.58, 16,095.69 and 6,358.35 is: 8,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.58 : 16,095.69 = 6,358.35 : x
  2. Step 2: Convert to fraction form
    11,663.58/16,095.69 = 6,358.35/x
  3. Step 3: Cross multiply
    11,663.58x = 16,095.69 × 6,358.35
  4. Step 4: Simplify right side
    11,663.58x = 102,342,030.51
  5. Step 5: Solve for x
    x = 102,342,030.51/11,663.58
  6. Step 6: Final answer
    x = 8,774.50

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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.