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Finding the Fourth Proportional to 10,570.56, 14,590.60 and 6,097.28

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Solution

The fourth proportional to 10,570.56, 14,590.60 and 6,097.28 is: 8,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.56 : 14,590.60 = 6,097.28 : x
  2. Step 2: Convert to fraction form
    10,570.56/14,590.60 = 6,097.28/x
  3. Step 3: Cross multiply
    10,570.56x = 14,590.60 × 6,097.28
  4. Step 4: Simplify right side
    10,570.56x = 88,962,973.57
  5. Step 5: Solve for x
    x = 88,962,973.57/10,570.56
  6. Step 6: Final answer
    x = 8,416.11

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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.