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Finding the Fourth Proportional to 10,698, 16,032.86 and 7,746.32

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Solution

The fourth proportional to 10,698, 16,032.86 and 7,746.32 is: 11,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698 : 16,032.86 = 7,746.32 : x
  2. Step 2: Convert to fraction form
    10,698/16,032.86 = 7,746.32/x
  3. Step 3: Cross multiply
    10,698x = 16,032.86 × 7,746.32
  4. Step 4: Simplify right side
    10,698x = 124,195,574.23
  5. Step 5: Solve for x
    x = 124,195,574.23/10,698
  6. Step 6: Final answer
    x = 11,609.23

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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.