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Finding the Fourth Proportional to 8,038.51, 11,093.83 and 4,681.63

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Solution

The fourth proportional to 8,038.51, 11,093.83 and 4,681.63 is: 6,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.51 : 11,093.83 = 4,681.63 : x
  2. Step 2: Convert to fraction form
    8,038.51/11,093.83 = 4,681.63/x
  3. Step 3: Cross multiply
    8,038.51x = 11,093.83 × 4,681.63
  4. Step 4: Simplify right side
    8,038.51x = 51,937,209.51
  5. Step 5: Solve for x
    x = 51,937,209.51/8,038.51
  6. Step 6: Final answer
    x = 6,461.05

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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.