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Finding the Fourth Proportional to 11,549.51, 15,946.85 and 7,079.36

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Solution

The fourth proportional to 11,549.51, 15,946.85 and 7,079.36 is: 9,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.51 : 15,946.85 = 7,079.36 : x
  2. Step 2: Convert to fraction form
    11,549.51/15,946.85 = 7,079.36/x
  3. Step 3: Cross multiply
    11,549.51x = 15,946.85 × 7,079.36
  4. Step 4: Simplify right side
    11,549.51x = 112,893,492.02
  5. Step 5: Solve for x
    x = 112,893,492.02/11,549.51
  6. Step 6: Final answer
    x = 9,774.74

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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.