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Finding the Fourth Proportional to 10,259.64, 14,159.01 and 5,782.98

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Solution

The fourth proportional to 10,259.64, 14,159.01 and 5,782.98 is: 7,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.64 : 14,159.01 = 5,782.98 : x
  2. Step 2: Convert to fraction form
    10,259.64/14,159.01 = 5,782.98/x
  3. Step 3: Cross multiply
    10,259.64x = 14,159.01 × 5,782.98
  4. Step 4: Simplify right side
    10,259.64x = 81,881,271.65
  5. Step 5: Solve for x
    x = 81,881,271.65/10,259.64
  6. Step 6: Final answer
    x = 7,980.91

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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.