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Finding the Fourth Proportional to 11,985.63, 16,547.88 and 7,738.60

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Solution

The fourth proportional to 11,985.63, 16,547.88 and 7,738.60 is: 10,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.63 : 16,547.88 = 7,738.60 : x
  2. Step 2: Convert to fraction form
    11,985.63/16,547.88 = 7,738.60/x
  3. Step 3: Cross multiply
    11,985.63x = 16,547.88 × 7,738.60
  4. Step 4: Simplify right side
    11,985.63x = 128,057,385.48
  5. Step 5: Solve for x
    x = 128,057,385.48/11,985.63
  6. Step 6: Final answer
    x = 10,684.24

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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.