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Finding the Fourth Proportional to 10,225.58, 14,111.23 and 5,809.58

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Solution

The fourth proportional to 10,225.58, 14,111.23 and 5,809.58 is: 8,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.58 : 14,111.23 = 5,809.58 : x
  2. Step 2: Convert to fraction form
    10,225.58/14,111.23 = 5,809.58/x
  3. Step 3: Cross multiply
    10,225.58x = 14,111.23 × 5,809.58
  4. Step 4: Simplify right side
    10,225.58x = 81,980,319.58
  5. Step 5: Solve for x
    x = 81,980,319.58/10,225.58
  6. Step 6: Final answer
    x = 8,017.18

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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.