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Finding the Fourth Proportional to 7,087, 9,779.74 and 4,256.06

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Solution

The fourth proportional to 7,087, 9,779.74 and 4,256.06 is: 5,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087 : 9,779.74 = 4,256.06 : x
  2. Step 2: Convert to fraction form
    7,087/9,779.74 = 4,256.06/x
  3. Step 3: Cross multiply
    7,087x = 9,779.74 × 4,256.06
  4. Step 4: Simplify right side
    7,087x = 41,623,160.22
  5. Step 5: Solve for x
    x = 41,623,160.22/7,087
  6. Step 6: Final answer
    x = 5,873.17

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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.