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Finding the Fourth Proportional to 11,698.02, 17,547.57 and 6,499.98

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Solution

The fourth proportional to 11,698.02, 17,547.57 and 6,499.98 is: 9,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.02 : 17,547.57 = 6,499.98 : x
  2. Step 2: Convert to fraction form
    11,698.02/17,547.57 = 6,499.98/x
  3. Step 3: Cross multiply
    11,698.02x = 17,547.57 × 6,499.98
  4. Step 4: Simplify right side
    11,698.02x = 114,058,854.05
  5. Step 5: Solve for x
    x = 114,058,854.05/11,698.02
  6. Step 6: Final answer
    x = 9,750.27

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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.