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Finding the Fourth Proportional to 11,293.44, 15,585.84 and 6,576

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Solution

The fourth proportional to 11,293.44, 15,585.84 and 6,576 is: 9,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293.44 : 15,585.84 = 6,576 : x
  2. Step 2: Convert to fraction form
    11,293.44/15,585.84 = 6,576/x
  3. Step 3: Cross multiply
    11,293.44x = 15,585.84 × 6,576
  4. Step 4: Simplify right side
    11,293.44x = 102,492,483.84
  5. Step 5: Solve for x
    x = 102,492,483.84/11,293.44
  6. Step 6: Final answer
    x = 9,075.40

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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.