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Finding the Fourth Proportional to 10,297.90, 14,209.83 and 7,312.65

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Solution

The fourth proportional to 10,297.90, 14,209.83 and 7,312.65 is: 10,090.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.90 : 14,209.83 = 7,312.65 : x
  2. Step 2: Convert to fraction form
    10,297.90/14,209.83 = 7,312.65/x
  3. Step 3: Cross multiply
    10,297.90x = 14,209.83 × 7,312.65
  4. Step 4: Simplify right side
    10,297.90x = 103,911,513.35
  5. Step 5: Solve for x
    x = 103,911,513.35/10,297.90
  6. Step 6: Final answer
    x = 10,090.55

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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.