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Finding the Fourth Proportional to 11,582.90, 17,368.88 and 5,341.06

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Solution

The fourth proportional to 11,582.90, 17,368.88 and 5,341.06 is: 8,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.90 : 17,368.88 = 5,341.06 : x
  2. Step 2: Convert to fraction form
    11,582.90/17,368.88 = 5,341.06/x
  3. Step 3: Cross multiply
    11,582.90x = 17,368.88 × 5,341.06
  4. Step 4: Simplify right side
    11,582.90x = 92,768,304.11
  5. Step 5: Solve for x
    x = 92,768,304.11/11,582.90
  6. Step 6: Final answer
    x = 8,009.07

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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.